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Finding the Fourth Proportional to 140,153.81, 193,351.58 and 85,708.36

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Solution

The fourth proportional to 140,153.81, 193,351.58 and 85,708.36 is: 118,240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,153.81 : 193,351.58 = 85,708.36 : x
  2. Step 2: Convert to fraction form
    140,153.81/193,351.58 = 85,708.36/x
  3. Step 3: Cross multiply
    140,153.81x = 193,351.58 × 85,708.36
  4. Step 4: Simplify right side
    140,153.81x = 16,571,845,858.45
  5. Step 5: Solve for x
    x = 16,571,845,858.45/140,153.81
  6. Step 6: Final answer
    x = 118,240.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.